Zhou Sheng, Ph.D.
Lecturer
Department of Data Science
School of Microelectronics &Data Science
Anhui University of Technology
Research Interests
l Numerical optimization
l Tensor computation
Teaching Courses
l Machine Learning, Optimization Methods in Economics and Management, Linear Algebra
Grants
l 202201-202312, Study on tensor optimization algorithms in quantum entanglement problems, Anhui Provincial Natural Science Foundation (grant no. 2208085QA07)
l 202201-202311, Study on the theory and applications for tensor orthogonal decomposition algorithms, Youth Foundation of Anhui University of Technology (grant no. QZ202114)
Selected Publications
1. Zhou Sheng, Jianze Li, Qin Ni. Jacobi-type algorithms for homogeneous polynomial optimization on Stiefel manifolds with applications to tensor approximations. Mathematics of Computation, 92(343): 2217-2245, 2023. (SCI)
2. Xin Zhang, Jinagya Chang, Zhili Ge, Zhou Sheng*. A family of gradient methods using Householder transformation with application to hypergraph partitioning. Numerical Algorithms, 2023. //doi.org/10.1007/s11075-023-01593-y. (SCI)
3. Zhou Sheng, Weiwei Yang, Jie Wen. A Riemannian gradient ascent algorithm with applications to orthogonal approximation problems of symmetric tensors. Applied Numerical Mathematics, 182: 235-247, 2022. (SCI)
4. Zhou Sheng, Qin Ni. A generalization of inverse power method for computing eigenpairs of symmetric tensor. Linear and Multilinear Algebra, 70(20): 4973-4990, 2022. (SCI)
5. Zhou Sheng, Qin Ni. Computing tensor Z-eigenvalues via shifted inverse power method. Journal of Computational and Applied Mathematics, 398: 113717, 2021. (SCI)
6. Zhou Sheng, Qin Ni. Globally convergent inverse iteration algorithm for finding the largest eigenvalue of a nonnegative weakly irreducible tensor. Pacific Journal of Optimization, 17(2): 189-207, 2021. (SCI)
7. Gonglin Yuan, Xiaoliang Wang, Zhou Sheng*. Family weak conjugate gradient algorithms and their convergence analysis for nonconvex functions. Numerical Algorithms, 84(3): 935-956, 2020. (SCI)
8. Zhou Sheng, Qin Ni, Gonglin Yuan. Local convergence analysis of inverse iteration algorithm for computing the H-spectral radius of a nonnegative weakly irreducible tensor. Journal of Computational and Applied Mathematics, 357, 26-37, 2019. (SCI)
9. Gonglin Yuan, Bopeng Wang, Zhou Sheng*. The Hager-Zhang conjugate gradient algorithm for large-scale nonlinear equations. International Journal of Computer Mathematics, 96(8): 1533-1547, 2019. (SCI)
10. Zhou Sheng, Gonglin Yuan. An effective adaptive trust region algorithm for nonsmooth minimization. Computational Optimization and Applications, 71, 251-271, 2018. (SCI)
11. Gonglin Yuan, Zhou Sheng*, Bopeng Wang, Wujie Hu, Chunnian Li. The global convergence of a modified BFGS method for nonconvex functions. Journal of Computational and Applied Mathematics, 327, 274-294, 2018. (SCI)
12. Zhou Sheng, Gonglin Yuan, Zengru Cui. A new adaptive trust region algorithm for optimization problems. Acta Mathematica Scientia, 38(2), 479-496, 2018. (SCI)
